48529200 has 120 divisors (see below), whose sum is σ = 159802768. Its totient is φ = 12579840.

The previous prime is 48529193. The next prime is 48529207. The reversal of 48529200 is 292584.

It is an interprime number because it is at equal distance from previous prime (48529193) and next prime (48529207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48529207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43854 + ... + 44946.

Almost surely, 2^48529200 is an apocalyptic number.

48529200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48529200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79901384).

48529200 is an abundant number, since it is smaller than the sum of its proper divisors (111273568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48529200 is a wasteful number, since it uses less digits than its factorization.

48529200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 48529200 is about 6966.2902609639. The cubic root of 48529200 is about 364.7548237763.

It can be divided in two parts, 48 and 529200, that multiplied together give a square (25401600 = 5040²).

The spelling of 48529200 in words is "forty-eight million, five hundred twenty-nine thousand, two hundred".